Question

read the following description of a data set. researchers at a sleep clinic want to know how watching television affects a persons ability to fall asleep. in a study, they measure the amount of time it takes subjects to fall asleep at night after watching television. the researchers note the number of minutes the subjects spent watching television in the evening, x, as well as the number of minutes it took them to fall asleep, y. the least squares regression line of this data set is: y = 1.786x - 302.923. complete the following sentence: if a subject spends an additional minute watching television in the evening, the least squares regression line predicts it will take them blank more minutes to fall asleep.

Explanation:

Step1: Identify the slope of the regression line

The regression line is $y = 1.786x-302.923$. The slope of the line is $1.786$.

Step2: Interpret the slope

The slope represents the change in $y$ (time to fall asleep) for a one - unit change in $x$ (minutes watching television). Since the slope $m = 1.786>0$, for each additional minute of watching television, the time it takes to fall asleep increases by 1.786 minutes.

Answer:

1.786